facts given here will enable the student to go through these Elements [Legendre’s] without any obstruction on that head.” The Translation of _Legendre_, with this Essay on Proportion, was Carlyle’s farewell to Mathematics. To the end of his life, however, he would talk with great relish of mathematical matters. Once, in the vicinity of Sloane Street, when I mentioned to him a geometrical theorem which Dr. Chalmers had confided to me, with the information that he had been working at it all his life and had never accomplished the solution, Carlyle became so eager that he made me stop and draw a diagram of the theorem for him on the pavement. Having thus picked up the notion of it, he branched out, in the most interesting manner, as we walked on, into talk and anecdote about mathematics and mathematicians, with references especially to Leslie, West, Robert Simson, and Pappus. A marked similarity of character between Carlyle and Chalmers was discernible in the fact that they both avowed a strong personal preference for the old pure geometry over the more potent modern analytics. “In geometry, sir, you are dealing with the _ipsissima corpora_,” Chalmers used to say; and Carlyle’s feeling seems to have been something of the same kind. There was a variation of Carlyle’s Edinburgh existence, not altogether disagreeable, when the seniors of the Buller family followed the two boys, and made Edinburgh for some time their residence. They took up house in India Street, giving dinners and seeing a good deal of company; and Carlyle, while continuing his lessons to young Charles and Arthur, was thus a good deal in India Street, observing new society, and becoming acquainted with Mr. Buller senior, the sprightly Mrs. Buller, and their third and youngest child, Reginald. As he makes this advent of the Bullers to Edinburgh to have been “towards the autumn” in 1822, we are able to connect it with another advent.